Some summability properties of operators on a separable Banach space

Simple item page
dc.contributor.authorMartín Peinador, Elena
dc.date.accessioned2023-06-20T18:46:16Z
dc.date.available2023-06-20T18:46:16Z
dc.date.issued1990-12-03
dc.description.abstractIt is a well known fact that operators on a separable Hilbert space H giving norm-summability on an orthonormal basis have to be nuclear (Holub 1972) and operators giving summability on an orthonormal basis must be Hilbert-Schmidt. In former papers the author characterizes all the sequences of H that in this respect behave as orthonormal basis, and in the present paper those results are in some way, generalized to a separable Banach space.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21824
dc.identifier.citationJ.Diestel, Sequences and Series in Banach spaces. Berlin-Heidelberg-New York 1984. J. R. Holub, Characterization of nuclear operators in Hilbert space. Rev. Roumaine Math. Pures Appl. (5) 16, 687–690 (1971). H. König, Personal Communication. 1985. E. Martín-Peinador, On the set of bounded linear operators transforming a sequence of a Hilbert space into an absolutely summable one. Colloq. Mat. Soc. János Bolyai 23, 829–837 (1978). E. Martín-Peinador, The weak summability dominion of a sequenceS of a Hilbert space in relation with the set of bounded linear operators. Ann. Inst. Mat. Univ. Nac. Aut. de Mexico. (2) 21, 149–162 (1981).
dc.identifier.doi10.1007/BF01191694
dc.identifier.issn0003-889X
dc.identifier.officialurlhttp://link.springer.com/article/10.1007%2FBF01191694#
dc.identifier.relatedurlhttp://link.springer.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58565
dc.issue.number6
dc.journal.titleArchiv der Mathematik
dc.language.isoeng
dc.page.final587
dc.page.initial584
dc.publisherBirkhäuser Verlag
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordCompact operator
dc.subject.keywordnuclear operator
dc.subject.keywordabsolutely summable sequence
dc.subject.keywordnorm-summability on an orthonormal basis
dc.subject.keywordHilbert-Schmidt
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleSome summability properties of operators on a separable Banach space
dc.typejournal article
dc.volume.number55
dspace.entity.typePublication
relation.isAuthorOfPublication0074400c-5caa-43fa-9c45-61c4b6f02093
relation.isAuthorOfPublication.latestForDiscovery0074400c-5caa-43fa-9c45-61c4b6f02093
Download
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
MPeinador109.pdf
Size:
44.02 KB
Format:
Adobe Portable Document Format
Download
Collections
Artículos